The retarded Bopp-Podolsky Green function on de Sitter spacetime is derived via Maxwell-massive factorization, revealing a softened light-cone singularity and a massive-sector interior tail.
Photon propagator in de Sitter space in the general covariant gauge
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We consider a free photon field in $D$-dimensional de Sitter space, and construct its propagator in the general covariant gauge. Canonical quantization is employed to define the system starting from the classical theory. This guarantees that the propagator satisfies both the equation of motion and subsidiary conditions descending from gauge invariance and gauge fixing. We first construct the propagator as a sum-over-modes in momentum space, carefully accounting for symmetry properties of the state. We then derive the position space propagator in a covariant representation, that is our main result. Our conclusions disagree with previous results as we find that the position space photon propagator necessarily breaks de Sitter symmetry, except in the exact transverse gauge limit.
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A special gauge choice (β=1, α=4(d+2)/d) yields a simple graviton propagator in (A)dS satisfying ∇^μ μ ∇^ν μ G_{μν,α'β'} = 0.
In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.
The first complete one-graviton-loop renormalized self-mass for a massive scalar field in de Sitter space is derived.
The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).
Scalar and vector Feynman integrals on the sphere are mapped to A-hypergeometric (GKZ) systems via embedding space propagators, enabling algorithmic higher-loop computations.
Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.
citing papers explorer
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Retarded Green Function For Bopp--Podolsky Electrodynamics in Four-Dimensional De Sitter Spacetime
The retarded Bopp-Podolsky Green function on de Sitter spacetime is derived via Maxwell-massive factorization, revealing a softened light-cone singularity and a massive-sector interior tail.
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A remarkably simple covariant graviton propagator in Anti-de Sitter spacetime
A special gauge choice (β=1, α=4(d+2)/d) yields a simple graviton propagator in (A)dS satisfying ∇^μ μ ∇^ν μ G_{μν,α'β'} = 0.
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De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety
In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.
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Massive scalar's self-mass from gravitons in de Sitter
The first complete one-graviton-loop renormalized self-mass for a massive scalar field in de Sitter space is derived.
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Bulk-to-bulk photon propagator in AdS
The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).
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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections
Scalar and vector Feynman integrals on the sphere are mapped to A-hypergeometric (GKZ) systems via embedding space propagators, enabling algorithmic higher-loop computations.
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Graviton propagator in de Sitter space in a simple one-parameter gauge
Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.